The generator matrix

 1  0  0  0  1  1  1  6  1  2  1  4  1  1  0  4  2  1  4  1  1  0  6  1  1  1  1  1  1  1  1  1  1  1  0  6  0  1  4  1  2  6  1  4  1  1  2  2  1  0  6  4  1  1  1  1
 0  1  0  0  0  1  1  1  7  2  0  1  2  5  1  1  1  4  4  3  1  1  6  3  4  5  2  2  7  7  2  3  2  4  1  6  6  5  1  0  1  1  4  0  1  4  1  2  3  2  1  1  4  0  0  0
 0  0  1  0  1  1  0  3  3  1  3  7  4  2  2  3  0  5  1  2  4  2  1  7  2  3  7  5  1  7  2  5  2  1  5  6  6  7  7  2  6  2  7  1  0  5  7  1  0  2  3  5  1  0  0  0
 0  0  0  1  1  6  3  1  3  3  2  4  5  2  3  5  3  0  4  7  2  0  3  1  3  1  5  4  2  0  5  7  0  5  1  1  1  4  2  4  0  0  1  6  0  7  0  7  5  1  3  5  2  0  0  0
 0  0  0  0  2  0  2  2  2  4  6  6  4  4  2  0  0  0  6  0  6  4  2  0  6  6  0  2  4  2  0  4  4  0  2  2  2  4  2  6  6  0  0  4  0  2  6  4  4  2  4  0  6  0  0  0
 0  0  0  0  0  4  0  0  4  4  4  4  4  4  4  4  0  4  4  4  4  4  4  0  4  0  0  0  0  4  0  4  0  0  0  0  4  0  0  0  0  4  4  4  0  0  4  4  0  4  4  0  0  0  0  0
 0  0  0  0  0  0  4  0  4  0  4  4  4  4  4  4  4  4  0  0  0  0  4  0  0  4  4  4  4  0  0  4  4  0  4  0  0  0  0  0  0  4  0  4  4  4  0  4  0  4  0  0  4  0  0  0

generates a code of length 56 over Z8 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+36x^43+111x^44+138x^45+367x^46+578x^47+1147x^48+1384x^49+2254x^50+2616x^51+4542x^52+4334x^53+6350x^54+5286x^55+7268x^56+5244x^57+6436x^58+4298x^59+4549x^60+2658x^61+2280x^62+1354x^63+1066x^64+524x^65+334x^66+152x^67+124x^68+54x^69+26x^70+14x^71+6x^72+2x^75+2x^76+1x^78

The gray image is a code over GF(2) with n=224, k=16 and d=86.
This code was found by Heurico 1.16 in 98.4 seconds.